Question

If sec (theta) + tan (theta) = 7 then find the value of sec (theta) - tan (theta)

Answer 1

secθ+tanθ=7
∵, sec²θ-tan²θ=1
or, (secθ+tanθ)(secθ-tanθ)=1
or, 7(secθ-tanθ)=1
or, secθ-tanθ=1/7

Answer 2

Sec θ - Tan θ = 1/7

Step-by-step explanation:

Given,

Sec θ + Tan θ = 7

To find,

Sec θ + Tan θ = ?

so,

Sec θ + Tan θ = 7  ...(i)

Let, Sec θ - Tan θ = x  ...(ii)

Multiplying (i) and (ii),

Sec^2 θ - Tan^2 θ = 7x

1 = 7x

x = 1/7

so,

Sec θ - Tan θ = 1/7

Learn more: Prove that : sec⁴ θ – sec²θ = tan⁴θ + tan²θ

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